1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mr_godi [17]
3 years ago
14

According to the MIT Airline Data Project, American Airlines controlled 15.5% of the domestic market during a recent year. A ran

dom sample of 125 domestic passengers that year was selected. Using the normal approximation to the binomial distribution, what is the probability that 10 or fewer passengers from this sample were on American Airline flights
Mathematics
2 answers:
puteri [66]3 years ago
5 0

Answer:

0.0143

Step-by-step explanation:

For us to get the probability of the passenger being an American, which is 15.5% = 15.55÷100

= 0.155

Which is the probability P

The sample size n is = 155

To get the probability of the person is not on the flight, which is q

Where q is 1-P

That's

q =1 - p= 0.845

P(X < A) = P(Z < (A - mean)/standard deviation)

Our mean is given as np ( population size × probability

= 125 x 0.155

= 19.375

And the standard deviation is given as = √npq

= √ (125 x 0.155x 0.845)

=√16.3719

= 4.0462

P(10 or lesser passengers that are on the American Airline flights) is given as = P(X \ 10)

=P(Z<{(A- mean) ÷standard deviation }

We have as

= P(Z < (10.5 - 19.375)/4.0462)

= P(Z < -2.19)

= 0.0143 as the probability that 10 or fewer passengers from this sample were on American Airline flights.

Naya [18.7K]3 years ago
4 0

Answer:

0.0143

Step-by-step explanation:

In this question, we are asked to use the binomial distribution to calculate the probability that 10 or fewer passengers from a sample of MIT data project sample were on American airline flights.

We proceed as follows;

The probability that a passenger was an American flight is 15.5%= 15.55/100 = 0.155

Let’s call this probability p

The probability that he/she isn’t on the flight, let’s call this q

q =1 - p= 0.845

Sample size, n = 155

P(X < A) = P(Z < (A - mean)/standard deviation)

Mean = np

= 125 x 0.155

= 19.375

Standard deviation = √npq

= √ (125 x 0.155x 0.845)

= 4.0462

P(10 or fewer passengers were on American Airline flights) = P(X \leq 10)

= P(Z < (10.5 - 19.375)/4.0462)

= P(Z < -2.19)

= 0.0143

You might be interested in
Five students participated in an Easter egg hunt. Ally snatched up one
babunello [35]

Answer:

There were a total of 72 Easter eggs.

Step-by-step explanation:

Since five students participated in an Easter egg hunt, where Ally snatched up one quarter of all of the eggs, Brett only managed to get half of what Ally found, Lee snagged six more than Brett, Jen ended up with half of Lee's take, While Lisa snagged three times that, to determine how many eggs were there in total, the following calculation must be performed:

Ally: 0.25X

Brett: 0.125X

Read: 0.125X + 6

Jen: 0.0625X + 3

Smooth: 0.1875X + 9

X - 0.25X - 0.125X - 0.125X - 0.0625X - 0.1875X = 0.25

0.25X = 6 + 3 + 9

0.25X = 18

Ally: 18

Brett: 9

Read: 15

Jen: 7.5

Smooth: 22.5

18 + 9 + 15 + 7.5 + 22.5 = X

72 = X

Thus, there were a total of 72 Easter eggs.

4 0
3 years ago
Find all solutions in the interval [0, 2π) sin2x + sin x = 0
Molodets [167]
Sin 2 x + sin x = 0
( sin 2 x = 2 sin x cos x )
2 sin x cos x + sin x  = 0
sin x ( 2 cos x + 1 ) = 0
sin x = 0 
x 1 = 0
x 2 = π 
or: 2 cos x + 1 = 0
2 cos x = - 1
cos x = -1/2
x 3 = 2π/3
x 4 = 4π/3
3 0
3 years ago
What is 7/8 divided by 6/13 in the simplest form.
Arte-miy333 [17]

Answer:

The answer is: 1 43/48

~hope this answered your question correctly, have a gr8 day my friend!~

Step-by-step explanation:

3 0
3 years ago
What is the next number in the pattern below? 3, 5, 9, 15, 23, ___ 31 33 35 37
stich3 [128]
The answer is 33.............
4 0
3 years ago
What is 5.6 × 10^−3 yd/year in feet per day?  
Soloha48 [4]
5.6x10^-3 yd/year in feet per day.

There are 3 feet in a yard

(5.6x10^-3)x3=1.68x10^-2 feet/year
Let's take there to be 365 days in the year (Fun fact: The actual duration of our year is <span>365 days 5 hours, 48 minutes 46 seconds)

</span>\frac{1.68*10^{-2}}{365} = 4.6*10^{-5}
<span>
Therefore the correct answer is D.</span>
8 0
3 years ago
Other questions:
  • What does 10a-a-a-a equal 
    11·1 answer
  • Find highest common factor 12 &amp; 20
    8·2 answers
  • Answer all or none! Ty!​
    11·1 answer
  • Find the probability.<br> You roll a fair six-sided die. The die shows a three or a five.
    12·2 answers
  • Laurent is preparing a fruit salad. She wants the total carbohydrates from pineapple and watermelon to equal 24 g. Pineapple has
    8·1 answer
  • 2.33333 x5355355 = plssssssssssssssssssssssssssssssssssssssssssss
    6·1 answer
  • Anyone knows what 9x323 is? pls I need ASAP
    13·2 answers
  • At a used book sale , Ms Margo sees that 4 comic books cost $5. At the rate,how much book can ms Margo but for $15?
    9·2 answers
  • What is the difference of the rational expressions below?
    6·1 answer
  • There are 7 girls and 9 boys on a playground.
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!